Qld govt squabbling shows 'disunity': LNP

The Queensland opposition claims Premier Annastacia Palaszczuk leads an increasingly divided team, with a "multitude of contenders" auditioning for the role of leader.

Liberal National Party leader Tim Nicholls claims Labor's squabbling with the Brisbane City Council over the merits of the proposed Brisbane metro project and the long-awaited cross-river rail exposes more disunity.

"This is a government that is fighting with itself," he said on Tuesday.

Ms Palaszczuk on Monday called on Brisbane Lord Mayor Graham Quirk to "ditch" his metro project and instead fully support the cross-river rail, for which Labor has pledged $800 million.

"What we need is all three levels of government focused on the most important infrastructure project for our state, which is the cross-river rail," she said.

However, her deputy, Jackie Trad, appeared more willing to work with the council the next day.

"We don't have a business case for the metro, we don't have any technical studies for the metro," she told ABC radio.